The masses of metal components, M M\,M grams, are normally distributed with a standard deviation of 3.2. Given that P(M<12)=0.42P(M < 12) = 0.42P(M<12)=0.42, calculate the mean mass of the components.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.